Period-doubling bifurcations, chaos, phase-locking and devil's staircase in a Bonhoeffer-van der Pol oscillator
1988; Elsevier BV; Volume: 32; Issue: 1 Linguagem: Inglês
10.1016/0167-2789(88)90091-7
ISSN1872-8022
Autores Tópico(s)Chaos control and synchronization
ResumoThe effect of a periodic input current A1 cos t in the Bonhoeffer-van der Pol oscillator along with a bias A0 is investigated numerically. As the parameter A1 is varied in the absence of bias by holding the other parameters at constant values, typical period-doubling bifurcation sequence is found to occur leading to chaotic motion in agreement with the Feigenbaum scenario. When the bias is switched on at the transition to chaos, frequency-locking is observed in the system. The frequency-locked intervals exhibit complete devil's staircase similar to the one observed in Belousov-Zhabotinsky reaction.
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